The sum of two natural numbers is 17402. One of the two numbers is divisible by 10. If the unit digit of that number is erased, the other number is obtained. What is the difference of these two numbers?

The difference of the two numbers is 14238.

Expert Answers

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The sum of two natural numbers is 17402. One of these numbers is divisible by 10. If the units digit of this number is erased, the other number is obtained. The difference of the two numbers has to be determined.

As one of the numbers is divisible by 10, it is of the form 10*x. When the units digit is erased x is left. From the information provided in the question, x + 10x = 17402

=> 11x = 17402

=> x = 17402/11

=> x = 1582

The two numbers are 1582 and 15820. The sum of these numbers is 17402. The difference of the two number is 14238.

The required difference of the numbers is 14238.

Last Reviewed by eNotes Editorial on March 2, 2021
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